On expansion and topological overlap

DOI10.1007/s10711-017-0291-4zbMath1393.05315OpenAlexW2963793758WikidataQ59607532 ScholiaQ59607532MaRDI QIDQ1663786

Tali Kaufman, Uli Wagner, Dominic Dotterrer

Publication date: 23 August 2018

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-017-0291-4

zbMATH Keywords

expansioncell complexeshigh dimensional expansiontopological overlapping

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Topological properties of mappings on manifolds (58K15) Combinatorial aspects of simplicial complexes (05E45)

Related Items

Coboundary expansion, equivariant overlap, and crossing numbers of simplicial complexes ⋮ Bounded degree cosystolic expanders of every dimension ⋮ The theta number of simplicial complexes

Cites Work

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• Isoperimetric inequalities for Ramanujan complexes and topological expanders
• A simpler proof of the Boros-Füredi-Bárány-Pach-Gromov theorem
• Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry
• On Gromov's method of selecting heavily covered points
• Homological connectivity of random 2-complexes
• The number of triangles covering the center of an \(n\)-set
• A generalization of Caratheodory's theorem
• On Expansion and Topological Overlap
• Eliminating Tverberg Points, I. An Analogue of the Whitney Trick
• Bounded degree cosystolic expanders of every dimension
• A Few Snapshots from the Work of Mikhail Gromov
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler